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Extremal uniform distribution and random chord lengths

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Publication:1945270
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DOI10.1007/s10474-010-0067-xzbMath1259.11070OpenAlexW1982778461MaRDI QIDQ1945270

Stefan Steinerberger

Publication date: 5 April 2013

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-0067-x


zbMATH Keywords

uniform distributiongeometric probabilityaverage distancebox integralrandom chord length


Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Approximation by polynomials (41A10) General theory of distribution modulo (1) (11K06)


Related Items

Random restricted matching and lower bounds for combinatorial optimization ⋮ Copulas ⋮ Korovkin’s Theorem for Functionals and Limits for Box Integrals ⋮ On positive linear functionals and operators associated with generalized means ⋮ Asymptotic constants in averaged Hölder inequalities



Cites Work

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  • Box integrals
  • The shortest path and the shortest road through n points
  • Advances in the theory of box integrals
  • Asymptotics of two integrals from optimization theory and geometric probability
  • Concerning $\int_0^1 \cdots \int_0^1 {(x_1^2 + \cdots + x_k^2 )} ^{{1 / 2}} dx_1 \cdots ,dx_k $ and a Taylor Series Method
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